Observe the sequence , the limit of .

　　Use calculation software to make a scatter plot of the first term ( as shown below ) . It can be seen from the figure that when increases, the sequence becomes closer and closer to .

　　With the help of further calculations using software, it can be seen that as gets larger, gets closer and closer to . From this, it can be preliminarily judged that the limit of this sequence is . In fact, we can make a preliminary judgment from this:

.

[ Detailed explanation of the experiment ]